Quantum Chaos and Mesoscopic Systems: Mathematical Methods in the Quantum Signatures of Chaos
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1997
|
| Schriftenreihe: | Mathematics and Its Applications
397 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7 |
| Beschreibung: | 1 Online-Ressource (XVI, 336 p) |
| ISBN: | 9789401587921 9789048148110 |
| DOI: | 10.1007/978-94-015-8792-1 |
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Datensatz im Suchindex
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| dewey-raw | 519 |
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| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-8792-1 |
| format | Electronic eBook |
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| isbn | 9789401587921 9789048148110 |
| language | English |
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| spelling | Hurt, Norman E. Verfasser aut Quantum Chaos and Mesoscopic Systems Mathematical Methods in the Quantum Signatures of Chaos by Norman E. Hurt Dordrecht Springer Netherlands 1997 1 Online-Ressource (XVI, 336 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 397 4. 2 Variance of Quantum Matrix Elements. 125 4. 3 Berry's Trick and the Hyperbolic Case 126 4. 4 Nonhyperbolic Case . . . . . . . 128 4. 5 Random Matrix Theory . . . . . 128 4. 6 Baker's Map and Other Systems 129 4. 7 Appendix: Baker's Map . . . . . 129 5 Error Terms 133 5. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 133 5. 2 The Riemann Zeta Function in Periodic Orbit Theory 135 5. 3 Form Factor for Primes . . . . . . . . . . . . . . . . . 137 5. 4 Error Terms in Periodic Orbit Theory: Co-compact Case. 138 5. 5 Binary Quadratic Forms as a Model . . . . . . . . . . . . 139 6 Co-Finite Model for Quantum Chaology 141 6. 1 Introduction. . . . . . . . 141 6. 2 Co-finite Models . . . . . 141 6. 3 Geodesic Triangle Spaces 144 6. 4 L-Functions. . . . . . . . 145 6. 5 Zelditch's Prime Geodesic Theorem. 146 6. 6 Zelditch's Pseudo Differential Operators 147 6. 7 Weyl's Law Generalized 148 6. 8 Equidistribution Theory . . . . . . . . . 150 7 Landau Levels and L-Functions 153 7. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . 153 7. 2 Landau Model: Mechanics on the Plane and Sphere. 153 7. 3 Landau Model: Mechanics on the Half-Plane 155 7. 4 Selberg's Spectral Theorem . . . . . . . . . . . 157 7. 5 Pseudo Billiards . . . . . . . . . . . . . . . . . 158 7. 6 Landau Levels on a Compact Riemann Surface 159 7. 7 Automorphic Forms . . . . . 160 7. 8 Maass-Selberg Trace Formula 162 7. 9 Degeneracy by Selberg. . . . 163 7. 10 Hecke Operators . . . . . . . 163 7. 11 Selberg Trace Formula for Hecke Operators 167 7. 12 Eigenvalue Statistics on X . . . . 169 7. 13 Mesoscopic Devices. . . . . . . . 170 7. 14 Hall Conductance on Leaky Tori 170 7 Mathematics Global analysis Number theory Quantum theory Applications of Mathematics Quantum Physics Condensed Matter Physics Number Theory Global Analysis and Analysis on Manifolds Mathematik Quantentheorie Quantenchaos (DE-588)4130849-9 gnd rswk-swf Mesoskopisches System (DE-588)4280799-2 gnd rswk-swf Quantenchaos (DE-588)4130849-9 s Mesoskopisches System (DE-588)4280799-2 s 1\p DE-604 https://doi.org/10.1007/978-94-015-8792-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hurt, Norman E. Quantum Chaos and Mesoscopic Systems Mathematical Methods in the Quantum Signatures of Chaos Mathematics Global analysis Number theory Quantum theory Applications of Mathematics Quantum Physics Condensed Matter Physics Number Theory Global Analysis and Analysis on Manifolds Mathematik Quantentheorie Quantenchaos (DE-588)4130849-9 gnd Mesoskopisches System (DE-588)4280799-2 gnd |
| subject_GND | (DE-588)4130849-9 (DE-588)4280799-2 |
| title | Quantum Chaos and Mesoscopic Systems Mathematical Methods in the Quantum Signatures of Chaos |
| title_auth | Quantum Chaos and Mesoscopic Systems Mathematical Methods in the Quantum Signatures of Chaos |
| title_exact_search | Quantum Chaos and Mesoscopic Systems Mathematical Methods in the Quantum Signatures of Chaos |
| title_full | Quantum Chaos and Mesoscopic Systems Mathematical Methods in the Quantum Signatures of Chaos by Norman E. Hurt |
| title_fullStr | Quantum Chaos and Mesoscopic Systems Mathematical Methods in the Quantum Signatures of Chaos by Norman E. Hurt |
| title_full_unstemmed | Quantum Chaos and Mesoscopic Systems Mathematical Methods in the Quantum Signatures of Chaos by Norman E. Hurt |
| title_short | Quantum Chaos and Mesoscopic Systems |
| title_sort | quantum chaos and mesoscopic systems mathematical methods in the quantum signatures of chaos |
| title_sub | Mathematical Methods in the Quantum Signatures of Chaos |
| topic | Mathematics Global analysis Number theory Quantum theory Applications of Mathematics Quantum Physics Condensed Matter Physics Number Theory Global Analysis and Analysis on Manifolds Mathematik Quantentheorie Quantenchaos (DE-588)4130849-9 gnd Mesoskopisches System (DE-588)4280799-2 gnd |
| topic_facet | Mathematics Global analysis Number theory Quantum theory Applications of Mathematics Quantum Physics Condensed Matter Physics Number Theory Global Analysis and Analysis on Manifolds Mathematik Quantentheorie Quantenchaos Mesoskopisches System |
| url | https://doi.org/10.1007/978-94-015-8792-1 |
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